Convergence rates in periodic homogenization of systems of elasticity
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- by Zhongwei Shen and Jinping Zhuge PDF
- Proc. Amer. Math. Soc. 145 (2017), 1187-1202 Request permission
Abstract:
This paper is concerned with homogenization of systems of linear elasticity with rapidly oscillating periodic coefficients. We establish sharp convergence rates in $L^2$ for the mixed boundary value problems with bounded measurable coefficients.References
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Additional Information
- Zhongwei Shen
- Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
- MR Author ID: 227185
- Jinping Zhuge
- Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
- MR Author ID: 1150103
- Received by editor(s): December 2, 2015
- Received by editor(s) in revised form: February 10, 2016, and May 11, 2016
- Published electronically: September 15, 2016
- Communicated by: Svitlana Mayboroda
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1187-1202
- MSC (2010): Primary 35J57
- DOI: https://doi.org/10.1090/proc/13289
- MathSciNet review: 3589318